Research works

McKay Correspondence: Golden Ratio Links Binary Icosahedral Group to E8 Lie Algebra — E8 Intelligence Research

FINDING: McKay correspondence links E8 Lie algebra to binary icosahedral group via golden ratio, unifying finite group theory with exceptional Lie symmetry. | MATH: Binary icosahedral group order = 120, E8 Coxeter number = 30, golden ratio φ = (1+√5)/2 ≈ 1.618; character values i...

The impact of general health on MASLD progression, revealing associations with steatosis and fibrosis through structural equation modeling

To investigate the association between psychological well-being, assessed using the General Health Questionnaire-28 (GHQ-28), and hepatic steatosis and fibrosis in patients with metabolic dysfunction-associated steatotic liver disease (MASLD), and to examine the direct and indire...

Lorentz-Covariant Completion of the Enchan Field and Earth Weak-Field Validation

Lorentz-Covariant Completion of the Enchan Field and Earth Weak-Field Validation This work investigates whether the Enchan Field—a finite-tension geometric order field S with a proposed weak-field effective metric—can be embedded consistently in a Lorentz-covariant spacetime desc...

Quasicrystals: Linking Aperiodic Order to Algebraic Integers via Golden Ratio — E8 Intelligence Research

FINDING: Quasicrystals are classified by intersecting lattices and spheres, linking aperiodic order to algebraic integers and number theory. MATH: Algebraic integers are roots of monic polynomials with integer coefficients; quasicrystals arise from projections of higher-dimension...

The Key Performance Indicator (KPI) System as a Tool for Improving the Efficiency of the Personnel Management System

The article examines the Key Performance Indicator (KPI) system as a tool for improving the efficiency of an organization's personnel management. The essence of KPIs is revealed, and the difference between this approach and traditional performance appraisal is shown. The necessit...

Cyclotomic Aperiodic Substitution Tilings Unify All Finite Rotation Symmetries — E8 Intelligence Research

FINDING: Aperiodic tilings with 5-fold symmetry (Penrose tilings) are now understood as a subset of a broader class—cyclotomic aperiodic substitution tilings (CAST)—which support all finite rotation symmetries and are defined on cyclotomic fields. | MATH: Vertices lie in the 2n-t...

Extremal no-three-in-line subsets of a modular hyperbola in the Hall-Jackson-Sudbery-Wild window

Let p be an odd prime and H_c = {(x,y): xy ≡ c (mod p)} the modular hyperbola in the 2p×2p window of Hall, Jackson, Sudbery and Wild (1975). HJSW observed that keeping three of the four points of each residue class gives 3(p−1) points in general position; Kovács, Nagy and Szabó s...

Fibonacci Anyons and the Golden Ratio: 72° Rotations in Braid Group Representations — E8 Intelligence Research

FINDING: Non-Abelian anyon braid group representations yield unitary matrices whose eigenvalues can include \(e^{\pm 2\pi i/5}\) (72° rotations), tied to Fibonacci anyons and the golden ratio. | MATH: Fibonacci anyon braid matrices (e.g., \(R\)-matrix for \(\tau \times \tau \to 1...

EuroMillions Breakthrough Mining — 2721 Sources, 22800 Leads Extracted — E8 Intelligence Research

Mined 2721 lottery+quantum breakthroughs. Extracted 22800 leads across 13 categories. 20576 high-value leads found. Categories: {"CORRIDOR": 1929, "FORMULA": 1767, "GEOMETRIC": 848, "FORWARD_ATTEMPT": 2045, "QUANTUM": 2256, "TIMING": 252, "CELESTIAL": 1856, "GEMATRIA": 1952, "CON...

Considerations for Ecological Momentary Assessments in Alcohol Use: A Narrative Review

Background: Ecological Momentary Assessments (EMAs), a newer method assessing alcohol use, present advantages over Timeline Follow Back (TLFB). EMAs have progressed from telephone calls to smartphone applications, providing opportunities for growth in a naturalistic assessment. T...

EuroMillions Breakthrough Mining — 2726 Sources, 22851 Leads Extracted — E8 Intelligence Research

Mined 2726 lottery+quantum breakthroughs. Extracted 22851 leads across 13 categories. 20627 high-value leads found. Categories: {"CORRIDOR": 1934, "FORMULA": 1771, "GEOMETRIC": 849, "FORWARD_ATTEMPT": 2050, "QUANTUM": 2260, "TIMING": 253, "CELESTIAL": 1861, "GEMATRIA": 1956, "CON...

Tissue engineering scaffolds for the spinal cord: recent advances and future prospects

Spinal cord tissue engineering scaffolds represent a highly promising option for the treatment and repair of spinal cord injury (SCI). They have a wide range of potential applications and, as essential biomaterial carriers, can restore the multifunctional microenvironment. Since...

FTSAI Climate Risk Assessment Framework: Methodological Foundations, Analytical Architecture, and Implementation Logic

The FTSAI Climate Risk Assessment Framework (FTSAI CRAF) provides a governance-oriented methodological architecture for the structured assessment and interpretation of climate and weather-related risks across heterogeneous organisations, sectors, and decision contexts. The Framew...

A Bioinspired Antifreezing Electrolyte Enabling Stable and Low‐Temperature Fluoride‐Ion Batteries via Hydrogen‐Bond Reconfiguration

ABSTRACT Fluoride‐ion batteries (FIBs) are appealing for their high theoretical energy density and low cost, wherein aqueous electrolytes provide the exceptionally high fluoride‐salt solubility and fast ion transport. However, the strong H 2 O−H 2 O hydrogen‐bond network promotes...

OS System / ε-Model — Universe OS: Part 5 – Planetary Matrices, Frequency Systemic Operators, and Emergent Orbital Dynamics

is a technical document detailing the Universe OS digital ontological model, which treats physical reality as a mathematical matrix of frequencies and systemic operators. It includes systematic deconstructions of planetary matrices, such as Venus, Saturn, and the Ice Giants, link...

A Commotion in the Mind: Direct and Indirect Associations of Moral Injury Symptom Severity and Stoicism with Suicide Risk in U.S. Military Veterans

Moral injury (MI) and stoicism have mixed independent associations with suicide risk among U.S. military veterans, yet little is known about how these constructs interact. We examined direct and indirect associations among MI symptom severity, stoicism, and suicide risk. Study pa...

The error of the Guy-Kelly heuristic, measured against exact counts

The Guy-Kelly conjecture predicts that the maximum number of points in general position in an n×n grid is asymptotically c·n. We measure how far the heuristic behind it stands from the truth, using the exact counts of A000755 rather than the threshold it predicts, since a thresho...

The Mathematics Of How I Ended Up Duct-Taped To The Ceiling This Morning

This paper presents a deliberately misguided yet structurally rigorous mathematical investigation into the circumstances under which the author awoke duct‑taped to the ceiling. Through the introduction of the Ceiling Manifold, the Duct Tape Tensor, and the Morning Carlo Field, th...

LAB #1621 NEUTRAL: TG AUTO: New edge proposed: inside_bar_breakout_with_expanding_volume — E8 Intelligence Research

IDEA: AUTO-FORWARDED from the Telegram/breakthrough stream (#699919, division=research, agent=gtx_scout): { "name": "inside_bar_breakout_with_expanding_volume", "source": "Al Brooks, Price Action (trading range breakout)", "type": "entry_engine", "rule": "Long (or short) when the...

Tolerance to Simulated Pod‐Borer Herbivory Among Several Genotypes of Extra Short‐Duration Pigeonpea ( Cajanus cajan )

ABSTRACT Pigeonpea is a major global legume crop that provides nutrition and income for some of the world's poorest people. Global pigeonpea yields are constrained due to damage from flower‐ and pod‐feeding lepidopteran pests, particularly Helicoverpa armigera . In this study, we...